A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A will average 5 minutes faster than Route B. The man decides to experiment. Each day he flips a coin to determine which way to go, driving each route 20 days. He finds that Route A takes an average of 46 minutes, with standard deviation 1 minute, and Route B takes an average of 49 minutes, with standard deviation 4 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times, (Pa "HA) The confidence interval is OD (Round to two decimal places as needed.)

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A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A will average 5
minutes faster than Route B. The man decides to experiment. Each day he flips a coin to determine which way to go, driving each route 20 days. He finds that Route
A takes an average of 46 minutes, with standard deviation 1 minute, and Route B takes an average of 49 minutes, with standard deviation 4 minutes. Histograms of
travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b.
a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times. (Pe " HA)-
The confidence interval is
(Round to two decimal places as needed.)
Transcribed Image Text:Score: 0 ofT A man who moves to a new city sees that there are two routes he could take to work. A neighbor who has lived there a long time tells him Route A will average 5 minutes faster than Route B. The man decides to experiment. Each day he flips a coin to determine which way to go, driving each route 20 days. He finds that Route A takes an average of 46 minutes, with standard deviation 1 minute, and Route B takes an average of 49 minutes, with standard deviation 4 minutes. Histograms of travel times for the routes are roughly symmetric and show no outliers. Complete parts a and b. a) Find a 95% confidence interval for the difference between the Route B and Route A commuting times. (Pe " HA)- The confidence interval is (Round to two decimal places as needed.)
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